Type
Text
Type
Dissertation
Advisor
Kirillov, Alexander | Plamenevskaya, Olga | Viro, Oleg | Ozsváth, Peter.
Date
2013-12-01
Keywords
Mathematics | bordered Floer homology, Heegaard Floer homology, link surgery, link theory
Department
Department of Mathematics.
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/76400
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
A closed three manifold invariant Heegaard Floer homology was generalized to bordered Heegaard Floer homology, defined by Robert Lipshitz, Peter Ozsváth and Dylan Thurston. Bordered Heegaard Floer homology is an invariant of three manifold with connected boundary, and its variant doubly bordered Floer homology is a bimodule defined on three manifold with two disconnected boundary components. In this thesis, we compute bordered Floer homology of (2,2n)-torus link complement. | A closed three manifold invariant Heegaard Floer homology was generalized to bordered Heegaard Floer homology, defined by Robert Lipshitz, Peter Ozsváth and Dylan Thurston. Bordered Heegaard Floer homology is an invariant of three manifold with connected boundary, and its variant doubly bordered Floer homology is a bimodule defined on three manifold with two disconnected boundary components. In this thesis, we compute bordered Floer homology of (2,2n)-torus link complement. | 79 pages
Recommended Citation
Lee, Jaepil, "Computation of Floer Invariant of (2,2n)-Torus Link Complement" (2013). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2323.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2323